Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	, , , , ,  ⊢
	: , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_right_closure
2	assumption		⊢
3	instantiation	4, 5	, , , ,  ⊢
	:
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_nested_closure
5	instantiation	6, 7, 8	, , , ,  ⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_left_side_into
7	instantiation	9, 20, 21, 10, 11	, , , ,  ⊢
	: , : , : , :
8	instantiation	12, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
10	instantiation	15, 20, 21, 16	, , ,  ⊢
	: , : , :
11	assumption		⊢
12	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	instantiation	17	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
16	instantiation	18, 19, 20, 21, 22	, , ,  ⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
19	assumption		⊢
20	instantiation	23, 26	⊢
	:
21	instantiation	23, 25	⊢
	:
22	instantiation	24, 25, 26, 27	, ,  ⊢
	: , : , :
23	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
24	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
25	assumption		⊢
26	assumption		⊢
27	assumption		⊢